Table of Contents

1. Real Numbers and Algebraic Expressions

  • 1.1 Study Skill Tips for Success in Mathematics
  • 1.2 Algebraic Expressions and Sets of Numbers
  • 1.3 Operations on Real Numbers and Order of Operations Integrated Review–Algebraic Expressions and Operations on Whole Numbers
  • 1.4 Properties of Real Numbers and Algebraic Expressions

2. Equations, Inequalities, and Problem Solving

  • 2.1 Linear Equations in One Variable
  • 2.2 An Introduction to Problem Solving
  • 2.3 Formulas and Problem Solving
  • 2.4 Linear Inequalities and Problem Solving Integrated Review–Linear Equations and Inequalities
  • 2.5 Compound Inequalities
  • 2.6 Absolute Value Equations
  • 2.7 Absolute Value Inequalities

3. Graphs and Functions

  • 3.1 Graphing Equations
  • 3.2 Introduction to Functions
  • 3.3 Graphing Linear Functions
  • 3.4 The Slope of a Line
  • 3.5 Equations of Lines Integrated Review–Linear Equations in Two Variables
  • 3.6 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions
  • 3.7 Graphing Linear Inequalities

4. Systems of Equations

  • 4.1 Solving Systems of Linear Equations in Two Variables
  • 4.2 Solving Systems of Linear Equations in Three Variables
  • 4.3 Systems of Linear Equations and Problem Solving Integrated Review–Systems of Linear Equations
  • 4.4 Solving Systems of Equations by Matrices
  • 4.5 Systems of Linear Inequalities

5. Exponents, Polynomials, and Polynomial Functions

  • 5.1 Exponents and Scientific Notation
  • 5.2 More Work with Exponents and Scientific Notation
  • 5.3 Polynomials and Polynomial Functions
  • 5.4 Multiplying Polynomials
  • 5.5 The Greatest Common Factor and Factoring by Grouping
  • 5.6 Factoring Trinomials
  • 5.7 Factoring by Special Products Integrated Review–Operations on Polynomials and Factoring Strategies
  • 5.8 Solving Equations by Factoring and Problem Solving

6. Rational Expressions

  • 6.1 Rational Functions and Multiplying and Dividing Rational Expressions
  • 6.2 Adding and Subtracting Rational Expressions
  • 6.3 Simplifying Complex Fractions
  • 6.4 Dividing Polynomials: Long Division and Synthetic Division
  • 6.5 Solving Equations Containing Rational Expressions Integrated Review–Expressions and Equations Containing Rational Expressions
  • 6.6 Rational Equations and Problem Solving
  • 6.7 Variation and Problem Solving

7. Rational Exponents, Radicals, and Complex Numbers

  • 7.1 Radicals and Radical Functions
  • 7.2 Rational Exponents
  • 7.3 Simplifying Radical Expressions
  • 7.4 Adding, Subtracting, and Multiplying Radical Expressions
  • 7.5 Rationalizing Denominators and Numerators of Radical Expressions Integrated Review–Radicals and Rational Exponents
  • 7.6 Radical Equations and Problem Solving
  • 7.7 Complex Numbers

8. Quadratic Equations and Functions

  • 8.1 Solving Quadratic Equations by Completing the Square
  • 8.2 Solving Quadratic Equations by the Quadratic Formula
  • 8.3 Solving Equations by Using Quadratic Methods Integrated Review–Summary on Solving Quadratic Equations
  • 8.4 Nonlinear Inequalities in One Variable
  • 8.5 Quadratic Functions and Their Graphs
  • 8.6 Further Graphing of Quadratic Functions

9. Exponential and Logarithmic Functions

  • 9.1 The Algebra of Functions; Composite Functions
  • 9.2 Inverse Functions
  • 9.3 Exponential Functions
  • 9.4 Exponential Growth and Decay Functions
  • 9.5 Logarithmic Functions
  • 9.6 Properties of Logarithms Integrated Review–Functions and Properties of Logarithms
  • 9.7 Common Logarithms, Natural Logarithms, and Change of Base
  • 9.8 Exponential and Logarithmic Equations and Problem Solving

10. Conic Sections

  • 10.1 The Parabola and the Circle
  • 10.2 The Ellipse and the Hyperbola Integrated Review–Graphing Conic Sections
  • 10.3 Solving Nonlinear Systems of Equations
  • 10.4 Nonlinear Inequalities and Systems of Inequalities

11. Sequences, Series, and the Binomial Theorem

  • 11.1 Sequences
  • 11.2 Arithmetic and Geometric Sequences
  • 11.3 Series Integrated Review–Sequences and Series
  • 11.4 Partial Sums of Arithmetic and Geometric Sequences
  • 11.5 The Binomial Theorem

Appendices

  • A Geometry
  • B Stretching and Compressing Graphs of Absolute Value Functions 
  • C Solving Systems of Equations Using Determinants
  • D An Introduction to Using a Graphing Utility 
  • Student Resources 
  • Study Skills Builders 
  • Bigger Picture–Study Guide Outline
  • Practice Final Exam